ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES

Milan Paštéka

doi:10.2478/tmmp-2013-0027

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ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES

Tatra Mountains Mathematical Publications

Volume 56 (2013): Issue 1 (November 2013)

By: Milan Paštéka

Open Access

|Feb 2014

Abstract

We define uniform distribution in compact metric space with respect to the Buck’s measure density originated in [Buck, R. C.: The measure theoretic approach to density, Amer. J. Math. 68 (1946), 560-580]. Weyl’s criterion is derived. This leads to an existence result.

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